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Finding the Fourth Proportional to 258,011.10, 387,016.65 and 156,971.70

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Solution

The fourth proportional to 258,011.10, 387,016.65 and 156,971.70 is: 235,457.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,011.10 : 387,016.65 = 156,971.70 : x
  2. Step 2: Convert to fraction form
    258,011.10/387,016.65 = 156,971.70/x
  3. Step 3: Cross multiply
    258,011.10x = 387,016.65 × 156,971.70
  4. Step 4: Simplify right side
    258,011.10x = 60,750,661,478.81
  5. Step 5: Solve for x
    x = 60,750,661,478.81/258,011.10
  6. Step 6: Final answer
    x = 235,457.55

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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.