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Finding the Fourth Proportional to 105,210, 145,194.12 and 60,498

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Solution

The fourth proportional to 105,210, 145,194.12 and 60,498 is: 83,489.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,210 : 145,194.12 = 60,498 : x
  2. Step 2: Convert to fraction form
    105,210/145,194.12 = 60,498/x
  3. Step 3: Cross multiply
    105,210x = 145,194.12 × 60,498
  4. Step 4: Simplify right side
    105,210x = 8,783,953,871.76
  5. Step 5: Solve for x
    x = 8,783,953,871.76/105,210
  6. Step 6: Final answer
    x = 83,489.72

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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.