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Finding the Fourth Proportional to 54,345.60, 81,417.60 and 30,902.40

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Solution

The fourth proportional to 54,345.60, 81,417.60 and 30,902.40 is: 46,296.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,345.60 : 81,417.60 = 30,902.40 : x
  2. Step 2: Convert to fraction form
    54,345.60/81,417.60 = 30,902.40/x
  3. Step 3: Cross multiply
    54,345.60x = 81,417.60 × 30,902.40
  4. Step 4: Simplify right side
    54,345.60x = 2,515,999,242.24
  5. Step 5: Solve for x
    x = 2,515,999,242.24/54,345.60
  6. Step 6: Final answer
    x = 46,296.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.