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Finding the Fourth Proportional to 162,767.61, 243,954.58 and 83,838.78

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Solution

The fourth proportional to 162,767.61, 243,954.58 and 83,838.78 is: 125,656.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,767.61 : 243,954.58 = 83,838.78 : x
  2. Step 2: Convert to fraction form
    162,767.61/243,954.58 = 83,838.78/x
  3. Step 3: Cross multiply
    162,767.61x = 243,954.58 × 83,838.78
  4. Step 4: Simplify right side
    162,767.61x = 20,452,854,362.61
  5. Step 5: Solve for x
    x = 20,452,854,362.61/162,767.61
  6. Step 6: Final answer
    x = 125,656.78

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1.5x scale

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.