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Finding the Fourth Proportional to 102,653.10, 153,979.65 and 94,779.90

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Solution

The fourth proportional to 102,653.10, 153,979.65 and 94,779.90 is: 142,169.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,653.10 : 153,979.65 = 94,779.90 : x
  2. Step 2: Convert to fraction form
    102,653.10/153,979.65 = 94,779.90/x
  3. Step 3: Cross multiply
    102,653.10x = 153,979.65 × 94,779.90
  4. Step 4: Simplify right side
    102,653.10x = 14,594,175,829.04
  5. Step 5: Solve for x
    x = 14,594,175,829.04/102,653.10
  6. Step 6: Final answer
    x = 142,169.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.