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Finding the Fourth Proportional to 145,854, 201,278.70 and 78,786

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Solution

The fourth proportional to 145,854, 201,278.70 and 78,786 is: 108,724.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,854 : 201,278.70 = 78,786 : x
  2. Step 2: Convert to fraction form
    145,854/201,278.70 = 78,786/x
  3. Step 3: Cross multiply
    145,854x = 201,278.70 × 78,786
  4. Step 4: Simplify right side
    145,854x = 15,857,943,658.20
  5. Step 5: Solve for x
    x = 15,857,943,658.20/145,854
  6. Step 6: Final answer
    x = 108,724.78

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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.