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Finding the Fourth Proportional to 78,349.78, 108,111.81 and 46,085.86

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Solution

The fourth proportional to 78,349.78, 108,111.81 and 46,085.86 is: 63,592.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,349.78 : 108,111.81 = 46,085.86 : x
  2. Step 2: Convert to fraction form
    78,349.78/108,111.81 = 46,085.86/x
  3. Step 3: Cross multiply
    78,349.78x = 108,111.81 × 46,085.86
  4. Step 4: Simplify right side
    78,349.78x = 4,982,425,740.01
  5. Step 5: Solve for x
    x = 4,982,425,740.01/78,349.78
  6. Step 6: Final answer
    x = 63,592.08

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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.