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Finding the Fourth Proportional to 103,130.51, 142,326.68 and 57,808.51

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Solution

The fourth proportional to 103,130.51, 142,326.68 and 57,808.51 is: 79,779.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,130.51 : 142,326.68 = 57,808.51 : x
  2. Step 2: Convert to fraction form
    103,130.51/142,326.68 = 57,808.51/x
  3. Step 3: Cross multiply
    103,130.51x = 142,326.68 × 57,808.51
  4. Step 4: Simplify right side
    103,130.51x = 8,227,692,736.93
  5. Step 5: Solve for x
    x = 8,227,692,736.93/103,130.51
  6. Step 6: Final answer
    x = 79,779.42

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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.