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Finding the Fourth Proportional to 102,491.04, 153,717.12 and 43,368

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Solution

The fourth proportional to 102,491.04, 153,717.12 and 43,368 is: 65,043.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,491.04 : 153,717.12 = 43,368 : x
  2. Step 2: Convert to fraction form
    102,491.04/153,717.12 = 43,368/x
  3. Step 3: Cross multiply
    102,491.04x = 153,717.12 × 43,368
  4. Step 4: Simplify right side
    102,491.04x = 6,666,404,060.16
  5. Step 5: Solve for x
    x = 6,666,404,060.16/102,491.04
  6. Step 6: Final answer
    x = 65,043.77

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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.