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Finding the Fourth Proportional to 105,780.18, 145,978.68 and 58,030.68

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Solution

The fourth proportional to 105,780.18, 145,978.68 and 58,030.68 is: 80,083.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,780.18 : 145,978.68 = 58,030.68 : x
  2. Step 2: Convert to fraction form
    105,780.18/145,978.68 = 58,030.68/x
  3. Step 3: Cross multiply
    105,780.18x = 145,978.68 × 58,030.68
  4. Step 4: Simplify right side
    105,780.18x = 8,471,242,065.90
  5. Step 5: Solve for x
    x = 8,471,242,065.90/105,780.18
  6. Step 6: Final answer
    x = 80,083.45

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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.