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Finding the Fourth Proportional to 136,874.30, 205,245.84 and 70,280.16

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Solution

The fourth proportional to 136,874.30, 205,245.84 and 70,280.16 is: 105,386.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,874.30 : 205,245.84 = 70,280.16 : x
  2. Step 2: Convert to fraction form
    136,874.30/205,245.84 = 70,280.16/x
  3. Step 3: Cross multiply
    136,874.30x = 205,245.84 × 70,280.16
  4. Step 4: Simplify right side
    136,874.30x = 14,424,710,474.53
  5. Step 5: Solve for x
    x = 14,424,710,474.53/136,874.30
  6. Step 6: Final answer
    x = 105,386.55

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1.5x scale

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.