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Finding the Fourth Proportional to 56,412.92, 77,672.64 and 47,897.24

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Solution

The fourth proportional to 56,412.92, 77,672.64 and 47,897.24 is: 65,947.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,412.92 : 77,672.64 = 47,897.24 : x
  2. Step 2: Convert to fraction form
    56,412.92/77,672.64 = 47,897.24/x
  3. Step 3: Cross multiply
    56,412.92x = 77,672.64 × 47,897.24
  4. Step 4: Simplify right side
    56,412.92x = 3,720,305,079.51
  5. Step 5: Solve for x
    x = 3,720,305,079.51/56,412.92
  6. Step 6: Final answer
    x = 65,947.75

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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.