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Finding the Fourth Proportional to 53,978.76, 74,488.14 and 29,780.51

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Solution

The fourth proportional to 53,978.76, 74,488.14 and 29,780.51 is: 41,095.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,978.76 : 74,488.14 = 29,780.51 : x
  2. Step 2: Convert to fraction form
    53,978.76/74,488.14 = 29,780.51/x
  3. Step 3: Cross multiply
    53,978.76x = 74,488.14 × 29,780.51
  4. Step 4: Simplify right side
    53,978.76x = 2,218,294,425.71
  5. Step 5: Solve for x
    x = 2,218,294,425.71/53,978.76
  6. Step 6: Final answer
    x = 41,095.69

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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.