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Finding the Fourth Proportional to 105,745.74, 145,931.12 and 58,001.50

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Solution

The fourth proportional to 105,745.74, 145,931.12 and 58,001.50 is: 80,043.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,745.74 : 145,931.12 = 58,001.50 : x
  2. Step 2: Convert to fraction form
    105,745.74/145,931.12 = 58,001.50/x
  3. Step 3: Cross multiply
    105,745.74x = 145,931.12 × 58,001.50
  4. Step 4: Simplify right side
    105,745.74x = 8,464,223,856.68
  5. Step 5: Solve for x
    x = 8,464,223,856.68/105,745.74
  6. Step 6: Final answer
    x = 80,043.17

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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.