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Finding the Fourth Proportional to 97,101.12, 145,548 and 69,314.88

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Solution

The fourth proportional to 97,101.12, 145,548 and 69,314.88 is: 103,898.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,101.12 : 145,548 = 69,314.88 : x
  2. Step 2: Convert to fraction form
    97,101.12/145,548 = 69,314.88/x
  3. Step 3: Cross multiply
    97,101.12x = 145,548 × 69,314.88
  4. Step 4: Simplify right side
    97,101.12x = 10,088,642,154.24
  5. Step 5: Solve for x
    x = 10,088,642,154.24/97,101.12
  6. Step 6: Final answer
    x = 103,898.31

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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.