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Finding the Fourth Proportional to 157,209.76, 235,808.16 and 38,878.12

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Solution

The fourth proportional to 157,209.76, 235,808.16 and 38,878.12 is: 58,315.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,209.76 : 235,808.16 = 38,878.12 : x
  2. Step 2: Convert to fraction form
    157,209.76/235,808.16 = 38,878.12/x
  3. Step 3: Cross multiply
    157,209.76x = 235,808.16 × 38,878.12
  4. Step 4: Simplify right side
    157,209.76x = 9,167,777,941.46
  5. Step 5: Solve for x
    x = 9,167,777,941.46/157,209.76
  6. Step 6: Final answer
    x = 58,315.58

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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.