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Finding the Fourth Proportional to 56,548, 78,037.26 and 31,056.76

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Solution

The fourth proportional to 56,548, 78,037.26 and 31,056.76 is: 42,858.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,548 : 78,037.26 = 31,056.76 : x
  2. Step 2: Convert to fraction form
    56,548/78,037.26 = 31,056.76/x
  3. Step 3: Cross multiply
    56,548x = 78,037.26 × 31,056.76
  4. Step 4: Simplify right side
    56,548x = 2,423,584,454.88
  5. Step 5: Solve for x
    x = 2,423,584,454.88/56,548
  6. Step 6: Final answer
    x = 42,858.89

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Double scale
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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.