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Finding the Fourth Proportional to 138,142.70, 207,215.55 and 38,303.72

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Solution

The fourth proportional to 138,142.70, 207,215.55 and 38,303.72 is: 57,455.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,142.70 : 207,215.55 = 38,303.72 : x
  2. Step 2: Convert to fraction form
    138,142.70/207,215.55 = 38,303.72/x
  3. Step 3: Cross multiply
    138,142.70x = 207,215.55 × 38,303.72
  4. Step 4: Simplify right side
    138,142.70x = 7,937,125,370.77
  5. Step 5: Solve for x
    x = 7,937,125,370.77/138,142.70
  6. Step 6: Final answer
    x = 57,455.99

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1.5x scale

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.