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Finding the Fourth Proportional to 153,600, 230,413.20 and 42,792

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Solution

The fourth proportional to 153,600, 230,413.20 and 42,792 is: 64,191.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,600 : 230,413.20 = 42,792 : x
  2. Step 2: Convert to fraction form
    153,600/230,413.20 = 42,792/x
  3. Step 3: Cross multiply
    153,600x = 230,413.20 × 42,792
  4. Step 4: Simplify right side
    153,600x = 9,859,841,654.40
  5. Step 5: Solve for x
    x = 9,859,841,654.40/153,600
  6. Step 6: Final answer
    x = 64,191.68

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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.