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Finding the Fourth Proportional to 157,615.80, 236,423.70 and 78,742.20

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Solution

The fourth proportional to 157,615.80, 236,423.70 and 78,742.20 is: 118,113.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,615.80 : 236,423.70 = 78,742.20 : x
  2. Step 2: Convert to fraction form
    157,615.80/236,423.70 = 78,742.20/x
  3. Step 3: Cross multiply
    157,615.80x = 236,423.70 × 78,742.20
  4. Step 4: Simplify right side
    157,615.80x = 18,616,522,270.14
  5. Step 5: Solve for x
    x = 18,616,522,270.14/157,615.80
  6. Step 6: Final answer
    x = 118,113.30

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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.