Finding the Fourth Proportional to 187,289,994,967.05, 258,415,894,637.67 and 105,999,817,890.01
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Solution
The fourth proportional to 187,289,994,967.05, 258,415,894,637.67 and 105,999,817,890.01 is: 146,254,677,278.92
Step by Step Solution
- Step 1: Write the proportion equation
187,289,994,967.05 : 258,415,894,637.67 = 105,999,817,890.01 : x - Step 2: Convert to fraction form
187,289,994,967.05/258,415,894,637.67 = 105,999,817,890.01/x - Step 3: Cross multiply
187,289,994,967.05x = 258,415,894,637.67 × 105,999,817,890.01 - Step 4: Simplify right side
187,289,994,967.05x = 27,392,037,771,477,029,748,736 - Step 5: Solve for x
x = 27,392,037,771,477,029,748,736/187,289,994,967.05 - Step 6: Final answer
x = 146,254,677,278.92
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.