Finding the Fourth Proportional to 105,197,101.40, 157,683,677.70 and 40,475,898.20
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Solution
The fourth proportional to 105,197,101.40, 157,683,677.70 and 40,475,898.20 is: 60,670,763.75
Step by Step Solution
- Step 1: Write the proportion equation
105,197,101.40 : 157,683,677.70 = 40,475,898.20 : x - Step 2: Convert to fraction form
105,197,101.40/157,683,677.70 = 40,475,898.20/x - Step 3: Cross multiply
105,197,101.40x = 157,683,677.70 × 40,475,898.20 - Step 4: Simplify right side
105,197,101.40x = 6,382,388,486,386,810 - Step 5: Solve for x
x = 6,382,388,486,386,810/105,197,101.40 - Step 6: Final answer
x = 60,670,763.75
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.