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Finding the Fourth Proportional to 78,051.51, 107,711.07 and 42,241.52

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Solution

The fourth proportional to 78,051.51, 107,711.07 and 42,241.52 is: 58,293.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,051.51 : 107,711.07 = 42,241.52 : x
  2. Step 2: Convert to fraction form
    78,051.51/107,711.07 = 42,241.52/x
  3. Step 3: Cross multiply
    78,051.51x = 107,711.07 × 42,241.52
  4. Step 4: Simplify right side
    78,051.51x = 4,549,878,779.07
  5. Step 5: Solve for x
    x = 4,549,878,779.07/78,051.51
  6. Step 6: Final answer
    x = 58,293.28

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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.