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Finding the Fourth Proportional to 102,805.74, 141,878.98 and 57,482.80

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Solution

The fourth proportional to 102,805.74, 141,878.98 and 57,482.80 is: 79,330.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,805.74 : 141,878.98 = 57,482.80 : x
  2. Step 2: Convert to fraction form
    102,805.74/141,878.98 = 57,482.80/x
  3. Step 3: Cross multiply
    102,805.74x = 141,878.98 × 57,482.80
  4. Step 4: Simplify right side
    102,805.74x = 8,155,601,031.54
  5. Step 5: Solve for x
    x = 8,155,601,031.54/102,805.74
  6. Step 6: Final answer
    x = 79,330.21

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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.