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Finding the Fourth Proportional to 115,642.67, 159,587.15 and 64,657.22

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Solution

The fourth proportional to 115,642.67, 159,587.15 and 64,657.22 is: 89,227.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,642.67 : 159,587.15 = 64,657.22 : x
  2. Step 2: Convert to fraction form
    115,642.67/159,587.15 = 64,657.22/x
  3. Step 3: Cross multiply
    115,642.67x = 159,587.15 × 64,657.22
  4. Step 4: Simplify right side
    115,642.67x = 10,318,461,466.72
  5. Step 5: Solve for x
    x = 10,318,461,466.72/115,642.67
  6. Step 6: Final answer
    x = 89,227.11

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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.