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Finding the Fourth Proportional to 102,942.60, 154,413.90 and 101,387.40

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Solution

The fourth proportional to 102,942.60, 154,413.90 and 101,387.40 is: 152,081.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,942.60 : 154,413.90 = 101,387.40 : x
  2. Step 2: Convert to fraction form
    102,942.60/154,413.90 = 101,387.40/x
  3. Step 3: Cross multiply
    102,942.60x = 154,413.90 × 101,387.40
  4. Step 4: Simplify right side
    102,942.60x = 15,655,623,844.86
  5. Step 5: Solve for x
    x = 15,655,623,844.86/102,942.60
  6. Step 6: Final answer
    x = 152,081.10

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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.