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Finding the Fourth Proportional to 288,051.90, 432,077.85 and 77,689.83

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Solution

The fourth proportional to 288,051.90, 432,077.85 and 77,689.83 is: 116,534.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,051.90 : 432,077.85 = 77,689.83 : x
  2. Step 2: Convert to fraction form
    288,051.90/432,077.85 = 77,689.83/x
  3. Step 3: Cross multiply
    288,051.90x = 432,077.85 × 77,689.83
  4. Step 4: Simplify right side
    288,051.90x = 33,568,054,713.27
  5. Step 5: Solve for x
    x = 33,568,054,713.27/288,051.90
  6. Step 6: Final answer
    x = 116,534.75

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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.