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Finding the Fourth Proportional to 153,726.31, 230,659.52 and 78,899.00

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Solution

The fourth proportional to 153,726.31, 230,659.52 and 78,899.00 is: 118,384.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,726.31 : 230,659.52 = 78,899.00 : x
  2. Step 2: Convert to fraction form
    153,726.31/230,659.52 = 78,899.00/x
  3. Step 3: Cross multiply
    153,726.31x = 230,659.52 × 78,899.00
  4. Step 4: Simplify right side
    153,726.31x = 18,198,803,920.69
  5. Step 5: Solve for x
    x = 18,198,803,920.69/153,726.31
  6. Step 6: Final answer
    x = 118,384.45

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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.