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Finding the Fourth Proportional to 105,708.64, 145,878.96 and 60,988

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Solution

The fourth proportional to 105,708.64, 145,878.96 and 60,988 is: 84,164.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,708.64 : 145,878.96 = 60,988 : x
  2. Step 2: Convert to fraction form
    105,708.64/145,878.96 = 60,988/x
  3. Step 3: Cross multiply
    105,708.64x = 145,878.96 × 60,988
  4. Step 4: Simplify right side
    105,708.64x = 8,896,866,012.48
  5. Step 5: Solve for x
    x = 8,896,866,012.48/105,708.64
  6. Step 6: Final answer
    x = 84,164.04

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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.