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Finding the Fourth Proportional to 145,838.13, 218,749.87 and 57,107.89

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Solution

The fourth proportional to 145,838.13, 218,749.87 and 57,107.89 is: 85,658.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,838.13 : 218,749.87 = 57,107.89 : x
  2. Step 2: Convert to fraction form
    145,838.13/218,749.87 = 57,107.89/x
  3. Step 3: Cross multiply
    145,838.13x = 218,749.87 × 57,107.89
  4. Step 4: Simplify right side
    145,838.13x = 12,492,343,513.47
  5. Step 5: Solve for x
    x = 12,492,343,513.47/145,838.13
  6. Step 6: Final answer
    x = 85,658.97

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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.