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Finding the Fourth Proportional to 105,653.92, 145,542 and 90,497.20

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Solution

The fourth proportional to 105,653.92, 145,542 and 90,497.20 is: 124,663.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,653.92 : 145,542 = 90,497.20 : x
  2. Step 2: Convert to fraction form
    105,653.92/145,542 = 90,497.20/x
  3. Step 3: Cross multiply
    105,653.92x = 145,542 × 90,497.20
  4. Step 4: Simplify right side
    105,653.92x = 13,171,143,482.40
  5. Step 5: Solve for x
    x = 13,171,143,482.40/105,653.92
  6. Step 6: Final answer
    x = 124,663.08

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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.