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Finding the Fourth Proportional to 102,528, 141,488.64 and 55,424

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Solution

The fourth proportional to 102,528, 141,488.64 and 55,424 is: 76,485.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,528 : 141,488.64 = 55,424 : x
  2. Step 2: Convert to fraction form
    102,528/141,488.64 = 55,424/x
  3. Step 3: Cross multiply
    102,528x = 141,488.64 × 55,424
  4. Step 4: Simplify right side
    102,528x = 7,841,866,383.36
  5. Step 5: Solve for x
    x = 7,841,866,383.36/102,528
  6. Step 6: Final answer
    x = 76,485.12

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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.