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Finding the Fourth Proportional to 98,848.56, 136,420.74 and 56,413.44

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Solution

The fourth proportional to 98,848.56, 136,420.74 and 56,413.44 is: 77,856.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,848.56 : 136,420.74 = 56,413.44 : x
  2. Step 2: Convert to fraction form
    98,848.56/136,420.74 = 56,413.44/x
  3. Step 3: Cross multiply
    98,848.56x = 136,420.74 × 56,413.44
  4. Step 4: Simplify right side
    98,848.56x = 7,695,963,230.75
  5. Step 5: Solve for x
    x = 7,695,963,230.75/98,848.56
  6. Step 6: Final answer
    x = 77,856.10

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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.