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Finding the Fourth Proportional to 56,342.10, 77,669.16 and 42,889.86

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Solution

The fourth proportional to 56,342.10, 77,669.16 and 42,889.86 is: 59,124.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,342.10 : 77,669.16 = 42,889.86 : x
  2. Step 2: Convert to fraction form
    56,342.10/77,669.16 = 42,889.86/x
  3. Step 3: Cross multiply
    56,342.10x = 77,669.16 × 42,889.86
  4. Step 4: Simplify right side
    56,342.10x = 3,331,219,398.72
  5. Step 5: Solve for x
    x = 3,331,219,398.72/56,342.10
  6. Step 6: Final answer
    x = 59,124.87

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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.