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Finding the Fourth Proportional to 56,493, 77,960.28 and 30,999.51

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Solution

The fourth proportional to 56,493, 77,960.28 and 30,999.51 is: 42,779.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,493 : 77,960.28 = 30,999.51 : x
  2. Step 2: Convert to fraction form
    56,493/77,960.28 = 30,999.51/x
  3. Step 3: Cross multiply
    56,493x = 77,960.28 × 30,999.51
  4. Step 4: Simplify right side
    56,493x = 2,416,730,479.46
  5. Step 5: Solve for x
    x = 2,416,730,479.46/56,493
  6. Step 6: Final answer
    x = 42,779.29

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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.