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Finding the Fourth Proportional to 145,165.40, 217,748.10 and 124,429.40

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Solution

The fourth proportional to 145,165.40, 217,748.10 and 124,429.40 is: 186,644.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,165.40 : 217,748.10 = 124,429.40 : x
  2. Step 2: Convert to fraction form
    145,165.40/217,748.10 = 124,429.40/x
  3. Step 3: Cross multiply
    145,165.40x = 217,748.10 × 124,429.40
  4. Step 4: Simplify right side
    145,165.40x = 27,094,265,434.14
  5. Step 5: Solve for x
    x = 27,094,265,434.14/145,165.40
  6. Step 6: Final answer
    x = 186,644.10

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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.