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Finding the Fourth Proportional to 145,140.30, 217,710.45 and 109,710.90

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Solution

The fourth proportional to 145,140.30, 217,710.45 and 109,710.90 is: 164,566.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,140.30 : 217,710.45 = 109,710.90 : x
  2. Step 2: Convert to fraction form
    145,140.30/217,710.45 = 109,710.90/x
  3. Step 3: Cross multiply
    145,140.30x = 217,710.45 × 109,710.90
  4. Step 4: Simplify right side
    145,140.30x = 23,885,209,408.91
  5. Step 5: Solve for x
    x = 23,885,209,408.91/145,140.30
  6. Step 6: Final answer
    x = 164,566.35

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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.