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Finding the Fourth Proportional to 97,187.60, 145,489.80 and 57,724.40

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Solution

The fourth proportional to 97,187.60, 145,489.80 and 57,724.40 is: 86,413.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,187.60 : 145,489.80 = 57,724.40 : x
  2. Step 2: Convert to fraction form
    97,187.60/145,489.80 = 57,724.40/x
  3. Step 3: Cross multiply
    97,187.60x = 145,489.80 × 57,724.40
  4. Step 4: Simplify right side
    97,187.60x = 8,398,311,411.12
  5. Step 5: Solve for x
    x = 8,398,311,411.12/97,187.60
  6. Step 6: Final answer
    x = 86,413.40

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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.