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Finding the Fourth Proportional to 82,054, 122,436.96 and 77,038.48

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Solution

The fourth proportional to 82,054, 122,436.96 and 77,038.48 is: 114,953.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,054 : 122,436.96 = 77,038.48 : x
  2. Step 2: Convert to fraction form
    82,054/122,436.96 = 77,038.48/x
  3. Step 3: Cross multiply
    82,054x = 122,436.96 × 77,038.48
  4. Step 4: Simplify right side
    82,054x = 9,432,357,294.22
  5. Step 5: Solve for x
    x = 9,432,357,294.22/82,054
  6. Step 6: Final answer
    x = 114,953.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.