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Finding the Fourth Proportional to 141,303.64, 195,008.34 and 77,641.96

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Solution

The fourth proportional to 141,303.64, 195,008.34 and 77,641.96 is: 107,151.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,303.64 : 195,008.34 = 77,641.96 : x
  2. Step 2: Convert to fraction form
    141,303.64/195,008.34 = 77,641.96/x
  3. Step 3: Cross multiply
    141,303.64x = 195,008.34 × 77,641.96
  4. Step 4: Simplify right side
    141,303.64x = 15,140,829,733.95
  5. Step 5: Solve for x
    x = 15,140,829,733.95/141,303.64
  6. Step 6: Final answer
    x = 107,151.02

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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.