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Finding the Fourth Proportional to 70,646.76, 105,966.54 and 18,053.10

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Solution

The fourth proportional to 70,646.76, 105,966.54 and 18,053.10 is: 27,078.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,646.76 : 105,966.54 = 18,053.10 : x
  2. Step 2: Convert to fraction form
    70,646.76/105,966.54 = 18,053.10/x
  3. Step 3: Cross multiply
    70,646.76x = 105,966.54 × 18,053.10
  4. Step 4: Simplify right side
    70,646.76x = 1,913,024,543.27
  5. Step 5: Solve for x
    x = 1,913,024,543.27/70,646.76
  6. Step 6: Final answer
    x = 27,078.73

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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.