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Finding the Fourth Proportional to 97,710.30, 146,565.45 and 91,805.40

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Solution

The fourth proportional to 97,710.30, 146,565.45 and 91,805.40 is: 137,708.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,710.30 : 146,565.45 = 91,805.40 : x
  2. Step 2: Convert to fraction form
    97,710.30/146,565.45 = 91,805.40/x
  3. Step 3: Cross multiply
    97,710.30x = 146,565.45 × 91,805.40
  4. Step 4: Simplify right side
    97,710.30x = 13,455,499,763.43
  5. Step 5: Solve for x
    x = 13,455,499,763.43/97,710.30
  6. Step 6: Final answer
    x = 137,708.10

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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.