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Finding the Fourth Proportional to 157,791, 236,803.14 and 74,685

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Solution

The fourth proportional to 157,791, 236,803.14 and 74,685 is: 112,082.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,791 : 236,803.14 = 74,685 : x
  2. Step 2: Convert to fraction form
    157,791/236,803.14 = 74,685/x
  3. Step 3: Cross multiply
    157,791x = 236,803.14 × 74,685
  4. Step 4: Simplify right side
    157,791x = 17,685,642,510.90
  5. Step 5: Solve for x
    x = 17,685,642,510.90/157,791
  6. Step 6: Final answer
    x = 112,082.71

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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.