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Finding the Fourth Proportional to 78,306, 108,026.40 and 46,456.80

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Solution

The fourth proportional to 78,306, 108,026.40 and 46,456.80 is: 64,089.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,306 : 108,026.40 = 46,456.80 : x
  2. Step 2: Convert to fraction form
    78,306/108,026.40 = 46,456.80/x
  3. Step 3: Cross multiply
    78,306x = 108,026.40 × 46,456.80
  4. Step 4: Simplify right side
    78,306x = 5,018,560,859.52
  5. Step 5: Solve for x
    x = 5,018,560,859.52/78,306
  6. Step 6: Final answer
    x = 64,089.10

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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.