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Finding the Fourth Proportional to 160,681.68, 221,740.14 and 89,061

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Solution

The fourth proportional to 160,681.68, 221,740.14 and 89,061 is: 122,903.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,681.68 : 221,740.14 = 89,061 : x
  2. Step 2: Convert to fraction form
    160,681.68/221,740.14 = 89,061/x
  3. Step 3: Cross multiply
    160,681.68x = 221,740.14 × 89,061
  4. Step 4: Simplify right side
    160,681.68x = 19,748,398,608.54
  5. Step 5: Solve for x
    x = 19,748,398,608.54/160,681.68
  6. Step 6: Final answer
    x = 122,903.86

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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.