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Finding the Fourth Proportional to 105,478.61, 145,630.95 and 62,471.93

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Solution

The fourth proportional to 105,478.61, 145,630.95 and 62,471.93 is: 86,253.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,478.61 : 145,630.95 = 62,471.93 : x
  2. Step 2: Convert to fraction form
    105,478.61/145,630.95 = 62,471.93/x
  3. Step 3: Cross multiply
    105,478.61x = 145,630.95 × 62,471.93
  4. Step 4: Simplify right side
    105,478.61x = 9,097,845,786.08
  5. Step 5: Solve for x
    x = 9,097,845,786.08/105,478.61
  6. Step 6: Final answer
    x = 86,253.00

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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.