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Finding the Fourth Proportional to 51,925.47, 77,854.93 and 21,931.58

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Solution

The fourth proportional to 51,925.47, 77,854.93 and 21,931.58 is: 32,883.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,925.47 : 77,854.93 = 21,931.58 : x
  2. Step 2: Convert to fraction form
    51,925.47/77,854.93 = 21,931.58/x
  3. Step 3: Cross multiply
    51,925.47x = 77,854.93 × 21,931.58
  4. Step 4: Simplify right side
    51,925.47x = 1,707,481,765.50
  5. Step 5: Solve for x
    x = 1,707,481,765.50/51,925.47
  6. Step 6: Final answer
    x = 32,883.32

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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.