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Finding the Fourth Proportional to 153,307.68, 229,534.72 and 78,265.60

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Solution

The fourth proportional to 153,307.68, 229,534.72 and 78,265.60 is: 117,180.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,307.68 : 229,534.72 = 78,265.60 : x
  2. Step 2: Convert to fraction form
    153,307.68/229,534.72 = 78,265.60/x
  3. Step 3: Cross multiply
    153,307.68x = 229,534.72 × 78,265.60
  4. Step 4: Simplify right side
    153,307.68x = 17,964,672,581.63
  5. Step 5: Solve for x
    x = 17,964,672,581.63/153,307.68
  6. Step 6: Final answer
    x = 117,180.51

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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.