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Finding the Fourth Proportional to 84,507.77, 116,699.75 and 54,345.47

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Solution

The fourth proportional to 84,507.77, 116,699.75 and 54,345.47 is: 75,047.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,507.77 : 116,699.75 = 54,345.47 : x
  2. Step 2: Convert to fraction form
    84,507.77/116,699.75 = 54,345.47/x
  3. Step 3: Cross multiply
    84,507.77x = 116,699.75 × 54,345.47
  4. Step 4: Simplify right side
    84,507.77x = 6,342,102,490.91
  5. Step 5: Solve for x
    x = 6,342,102,490.91/84,507.77
  6. Step 6: Final answer
    x = 75,047.57

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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.