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Finding the Fourth Proportional to 58,276, 80,421.84 and 31,780

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Solution

The fourth proportional to 58,276, 80,421.84 and 31,780 is: 43,856.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,276 : 80,421.84 = 31,780 : x
  2. Step 2: Convert to fraction form
    58,276/80,421.84 = 31,780/x
  3. Step 3: Cross multiply
    58,276x = 80,421.84 × 31,780
  4. Step 4: Simplify right side
    58,276x = 2,555,806,075.20
  5. Step 5: Solve for x
    x = 2,555,806,075.20/58,276
  6. Step 6: Final answer
    x = 43,856.92

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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.