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Finding the Fourth Proportional to 138,407.98, 191,003 and 74,745.77

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Solution

The fourth proportional to 138,407.98, 191,003 and 74,745.77 is: 103,149.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,407.98 : 191,003 = 74,745.77 : x
  2. Step 2: Convert to fraction form
    138,407.98/191,003 = 74,745.77/x
  3. Step 3: Cross multiply
    138,407.98x = 191,003 × 74,745.77
  4. Step 4: Simplify right side
    138,407.98x = 14,276,666,307.31
  5. Step 5: Solve for x
    x = 14,276,666,307.31/138,407.98
  6. Step 6: Final answer
    x = 103,149.16

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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.