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Finding the Fourth Proportional to 151,457.13, 209,011.65 and 86,921.22

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Solution

The fourth proportional to 151,457.13, 209,011.65 and 86,921.22 is: 119,951.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,457.13 : 209,011.65 = 86,921.22 : x
  2. Step 2: Convert to fraction form
    151,457.13/209,011.65 = 86,921.22/x
  3. Step 3: Cross multiply
    151,457.13x = 209,011.65 × 86,921.22
  4. Step 4: Simplify right side
    151,457.13x = 18,167,547,612.21
  5. Step 5: Solve for x
    x = 18,167,547,612.21/151,457.13
  6. Step 6: Final answer
    x = 119,951.75

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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.