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Finding the Fourth Proportional to 105,657.76, 158,509.68 and 31,780

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Solution

The fourth proportional to 105,657.76, 158,509.68 and 31,780 is: 47,676.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,657.76 : 158,509.68 = 31,780 : x
  2. Step 2: Convert to fraction form
    105,657.76/158,509.68 = 31,780/x
  3. Step 3: Cross multiply
    105,657.76x = 158,509.68 × 31,780
  4. Step 4: Simplify right side
    105,657.76x = 5,037,437,630.40
  5. Step 5: Solve for x
    x = 5,037,437,630.40/105,657.76
  6. Step 6: Final answer
    x = 47,676.93

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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.