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Finding the Fourth Proportional to 99,309.74, 137,047.14 and 53,987.67

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Solution

The fourth proportional to 99,309.74, 137,047.14 and 53,987.67 is: 74,502.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,309.74 : 137,047.14 = 53,987.67 : x
  2. Step 2: Convert to fraction form
    99,309.74/137,047.14 = 53,987.67/x
  3. Step 3: Cross multiply
    99,309.74x = 137,047.14 × 53,987.67
  4. Step 4: Simplify right side
    99,309.74x = 7,398,855,768.76
  5. Step 5: Solve for x
    x = 7,398,855,768.76/99,309.74
  6. Step 6: Final answer
    x = 74,502.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.