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Finding the Fourth Proportional to 153,462.78, 230,045.40 and 78,618.24

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Solution

The fourth proportional to 153,462.78, 230,045.40 and 78,618.24 is: 117,851.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,462.78 : 230,045.40 = 78,618.24 : x
  2. Step 2: Convert to fraction form
    153,462.78/230,045.40 = 78,618.24/x
  3. Step 3: Cross multiply
    153,462.78x = 230,045.40 × 78,618.24
  4. Step 4: Simplify right side
    153,462.78x = 18,085,764,468.10
  5. Step 5: Solve for x
    x = 18,085,764,468.10/153,462.78
  6. Step 6: Final answer
    x = 117,851.15

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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.