Finding the Fourth Proportional to 75,778,748.32, 113,639,904.24 and 27,243,358.24
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Solution
The fourth proportional to 75,778,748.32, 113,639,904.24 and 27,243,358.24 is: 40,854,892.57
Step by Step Solution
- Step 1: Write the proportion equation
75,778,748.32 : 113,639,904.24 = 27,243,358.24 : x - Step 2: Convert to fraction form
75,778,748.32/113,639,904.24 = 27,243,358.24/x - Step 3: Cross multiply
75,778,748.32x = 113,639,904.24 × 27,243,358.24 - Step 4: Simplify right side
75,778,748.32x = 3,095,932,621,569,614.50 - Step 5: Solve for x
x = 3,095,932,621,569,614.50/75,778,748.32 - Step 6: Final answer
x = 40,854,892.57
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.