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Finding the Fourth Proportional to 105,252.83, 157,954.88 and 42,036.72

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Solution

The fourth proportional to 105,252.83, 157,954.88 and 42,036.72 is: 63,085.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,252.83 : 157,954.88 = 42,036.72 : x
  2. Step 2: Convert to fraction form
    105,252.83/157,954.88 = 42,036.72/x
  3. Step 3: Cross multiply
    105,252.83x = 157,954.88 × 42,036.72
  4. Step 4: Simplify right side
    105,252.83x = 6,639,905,063.19
  5. Step 5: Solve for x
    x = 6,639,905,063.19/105,252.83
  6. Step 6: Final answer
    x = 63,085.29

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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.