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Finding the Fourth Proportional to 157,083, 235,700.10 and 78,204.12

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Solution

The fourth proportional to 157,083, 235,700.10 and 78,204.12 is: 117,343.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,083 : 235,700.10 = 78,204.12 : x
  2. Step 2: Convert to fraction form
    157,083/235,700.10 = 78,204.12/x
  3. Step 3: Cross multiply
    157,083x = 235,700.10 × 78,204.12
  4. Step 4: Simplify right side
    157,083x = 18,432,718,904.41
  5. Step 5: Solve for x
    x = 18,432,718,904.41/157,083
  6. Step 6: Final answer
    x = 117,343.82

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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.