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Finding the Fourth Proportional to 105,752.45, 158,620.26 and 42,528

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Solution

The fourth proportional to 105,752.45, 158,620.26 and 42,528 is: 63,788.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,752.45 : 158,620.26 = 42,528 : x
  2. Step 2: Convert to fraction form
    105,752.45/158,620.26 = 42,528/x
  3. Step 3: Cross multiply
    105,752.45x = 158,620.26 × 42,528
  4. Step 4: Simplify right side
    105,752.45x = 6,745,802,417.28
  5. Step 5: Solve for x
    x = 6,745,802,417.28/105,752.45
  6. Step 6: Final answer
    x = 63,788.62

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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.