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Finding the Fourth Proportional to 76,153.70, 105,088.68 and 42,159.80

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Solution

The fourth proportional to 76,153.70, 105,088.68 and 42,159.80 is: 58,178.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,153.70 : 105,088.68 = 42,159.80 : x
  2. Step 2: Convert to fraction form
    76,153.70/105,088.68 = 42,159.80/x
  3. Step 3: Cross multiply
    76,153.70x = 105,088.68 × 42,159.80
  4. Step 4: Simplify right side
    76,153.70x = 4,430,517,993.79
  5. Step 5: Solve for x
    x = 4,430,517,993.79/76,153.70
  6. Step 6: Final answer
    x = 58,178.63

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1.5x scale

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.