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Finding the Fourth Proportional to 102,439.68, 153,554.98 and 65,027.40

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Solution

The fourth proportional to 102,439.68, 153,554.98 and 65,027.40 is: 97,474.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,439.68 : 153,554.98 = 65,027.40 : x
  2. Step 2: Convert to fraction form
    102,439.68/153,554.98 = 65,027.40/x
  3. Step 3: Cross multiply
    102,439.68x = 153,554.98 × 65,027.40
  4. Step 4: Simplify right side
    102,439.68x = 9,985,281,106.45
  5. Step 5: Solve for x
    x = 9,985,281,106.45/102,439.68
  6. Step 6: Final answer
    x = 97,474.74

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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.