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Finding the Fourth Proportional to 137,117.96, 205,681.53 and 47,159.82

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Solution

The fourth proportional to 137,117.96, 205,681.53 and 47,159.82 is: 70,741.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,117.96 : 205,681.53 = 47,159.82 : x
  2. Step 2: Convert to fraction form
    137,117.96/205,681.53 = 47,159.82/x
  3. Step 3: Cross multiply
    137,117.96x = 205,681.53 × 47,159.82
  4. Step 4: Simplify right side
    137,117.96x = 9,699,903,843.70
  5. Step 5: Solve for x
    x = 9,699,903,843.70/137,117.96
  6. Step 6: Final answer
    x = 70,741.31

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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.