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Finding the Fourth Proportional to 153,658.52, 230,702.88 and 78,831.44

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Solution

The fourth proportional to 153,658.52, 230,702.88 and 78,831.44 is: 118,357.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,658.52 : 230,702.88 = 78,831.44 : x
  2. Step 2: Convert to fraction form
    153,658.52/230,702.88 = 78,831.44/x
  3. Step 3: Cross multiply
    153,658.52x = 230,702.88 × 78,831.44
  4. Step 4: Simplify right side
    153,658.52x = 18,186,640,242.55
  5. Step 5: Solve for x
    x = 18,186,640,242.55/153,658.52
  6. Step 6: Final answer
    x = 118,357.51

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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.