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Finding the Fourth Proportional to 105,985.68, 146,263.50 and 58,240.50

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Solution

The fourth proportional to 105,985.68, 146,263.50 and 58,240.50 is: 80,373.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,985.68 : 146,263.50 = 58,240.50 : x
  2. Step 2: Convert to fraction form
    105,985.68/146,263.50 = 58,240.50/x
  3. Step 3: Cross multiply
    105,985.68x = 146,263.50 × 58,240.50
  4. Step 4: Simplify right side
    105,985.68x = 8,518,459,371.75
  5. Step 5: Solve for x
    x = 8,518,459,371.75/105,985.68
  6. Step 6: Final answer
    x = 80,373.68

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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.