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Finding the Fourth Proportional to 138,281.58, 207,417.51 and 43,509.15

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Solution

The fourth proportional to 138,281.58, 207,417.51 and 43,509.15 is: 65,262.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,281.58 : 207,417.51 = 43,509.15 : x
  2. Step 2: Convert to fraction form
    138,281.58/207,417.51 = 43,509.15/x
  3. Step 3: Cross multiply
    138,281.58x = 207,417.51 × 43,509.15
  4. Step 4: Simplify right side
    138,281.58x = 9,024,559,555.22
  5. Step 5: Solve for x
    x = 9,024,559,555.22/138,281.58
  6. Step 6: Final answer
    x = 65,262.20

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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.