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Finding the Fourth Proportional to 75,564, 104,278.56 and 42,030.24

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Solution

The fourth proportional to 75,564, 104,278.56 and 42,030.24 is: 58,001.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,564 : 104,278.56 = 42,030.24 : x
  2. Step 2: Convert to fraction form
    75,564/104,278.56 = 42,030.24/x
  3. Step 3: Cross multiply
    75,564x = 104,278.56 × 42,030.24
  4. Step 4: Simplify right side
    75,564x = 4,382,852,903.65
  5. Step 5: Solve for x
    x = 4,382,852,903.65/75,564
  6. Step 6: Final answer
    x = 58,001.86

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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.