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Finding the Fourth Proportional to 104,848.86, 157,117.76 and 77,010.78

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Solution

The fourth proportional to 104,848.86, 157,117.76 and 77,010.78 is: 115,401.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,848.86 : 157,117.76 = 77,010.78 : x
  2. Step 2: Convert to fraction form
    104,848.86/157,117.76 = 77,010.78/x
  3. Step 3: Cross multiply
    104,848.86x = 157,117.76 × 77,010.78
  4. Step 4: Simplify right side
    104,848.86x = 12,099,760,864.40
  5. Step 5: Solve for x
    x = 12,099,760,864.40/104,848.86
  6. Step 6: Final answer
    x = 115,401.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.