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Finding the Fourth Proportional to 55,547.50, 76,655.55 and 30,397

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Solution

The fourth proportional to 55,547.50, 76,655.55 and 30,397 is: 41,947.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,547.50 : 76,655.55 = 30,397 : x
  2. Step 2: Convert to fraction form
    55,547.50/76,655.55 = 30,397/x
  3. Step 3: Cross multiply
    55,547.50x = 76,655.55 × 30,397
  4. Step 4: Simplify right side
    55,547.50x = 2,330,098,753.35
  5. Step 5: Solve for x
    x = 2,330,098,753.35/55,547.50
  6. Step 6: Final answer
    x = 41,947.86

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1.5x scale

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.