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Finding the Fourth Proportional to 125,952, 173,814 and 69,368.64

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Solution

The fourth proportional to 125,952, 173,814 and 69,368.64 is: 95,728.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,952 : 173,814 = 69,368.64 : x
  2. Step 2: Convert to fraction form
    125,952/173,814 = 69,368.64/x
  3. Step 3: Cross multiply
    125,952x = 173,814 × 69,368.64
  4. Step 4: Simplify right side
    125,952x = 12,057,240,792.96
  5. Step 5: Solve for x
    x = 12,057,240,792.96/125,952
  6. Step 6: Final answer
    x = 95,728.86

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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.