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Finding the Fourth Proportional to 103,155.78, 142,354.85 and 57,833.77

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Solution

The fourth proportional to 103,155.78, 142,354.85 and 57,833.77 is: 79,810.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,155.78 : 142,354.85 = 57,833.77 : x
  2. Step 2: Convert to fraction form
    103,155.78/142,354.85 = 57,833.77/x
  3. Step 3: Cross multiply
    103,155.78x = 142,354.85 × 57,833.77
  4. Step 4: Simplify right side
    103,155.78x = 8,232,917,653.28
  5. Step 5: Solve for x
    x = 8,232,917,653.28/103,155.78
  6. Step 6: Final answer
    x = 79,810.53

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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.