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Finding the Fourth Proportional to 51,528, 77,347.08 and 21,959.76

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Solution

The fourth proportional to 51,528, 77,347.08 and 21,959.76 is: 32,963.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,528 : 77,347.08 = 21,959.76 : x
  2. Step 2: Convert to fraction form
    51,528/77,347.08 = 21,959.76/x
  3. Step 3: Cross multiply
    51,528x = 77,347.08 × 21,959.76
  4. Step 4: Simplify right side
    51,528x = 1,698,523,313.50
  5. Step 5: Solve for x
    x = 1,698,523,313.50/51,528
  6. Step 6: Final answer
    x = 32,963.11

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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.