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Finding the Fourth Proportional to 56,054, 77,352.60 and 30,902

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Solution

The fourth proportional to 56,054, 77,352.60 and 30,902 is: 42,643.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,054 : 77,352.60 = 30,902 : x
  2. Step 2: Convert to fraction form
    56,054/77,352.60 = 30,902/x
  3. Step 3: Cross multiply
    56,054x = 77,352.60 × 30,902
  4. Step 4: Simplify right side
    56,054x = 2,390,350,045.20
  5. Step 5: Solve for x
    x = 2,390,350,045.20/56,054
  6. Step 6: Final answer
    x = 42,643.70

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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.