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Finding the Fourth Proportional to 105,728, 145,904.64 and 58,624

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Solution

The fourth proportional to 105,728, 145,904.64 and 58,624 is: 80,901.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,728 : 145,904.64 = 58,624 : x
  2. Step 2: Convert to fraction form
    105,728/145,904.64 = 58,624/x
  3. Step 3: Cross multiply
    105,728x = 145,904.64 × 58,624
  4. Step 4: Simplify right side
    105,728x = 8,553,513,615.36
  5. Step 5: Solve for x
    x = 8,553,513,615.36/105,728
  6. Step 6: Final answer
    x = 80,901.12

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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.