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Finding the Fourth Proportional to 100,095.68, 137,971.92 and 67,820.48

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Solution

The fourth proportional to 100,095.68, 137,971.92 and 67,820.48 is: 93,483.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,095.68 : 137,971.92 = 67,820.48 : x
  2. Step 2: Convert to fraction form
    100,095.68/137,971.92 = 67,820.48/x
  3. Step 3: Cross multiply
    100,095.68x = 137,971.92 × 67,820.48
  4. Step 4: Simplify right side
    100,095.68x = 9,357,321,840.92
  5. Step 5: Solve for x
    x = 9,357,321,840.92/100,095.68
  6. Step 6: Final answer
    x = 93,483.77

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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.