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Finding the Fourth Proportional to 98,876.78, 136,459.74 and 56,441.69

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Solution

The fourth proportional to 98,876.78, 136,459.74 and 56,441.69 is: 77,895.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,876.78 : 136,459.74 = 56,441.69 : x
  2. Step 2: Convert to fraction form
    98,876.78/136,459.74 = 56,441.69/x
  3. Step 3: Cross multiply
    98,876.78x = 136,459.74 × 56,441.69
  4. Step 4: Simplify right side
    98,876.78x = 7,702,018,342.56
  5. Step 5: Solve for x
    x = 7,702,018,342.56/98,876.78
  6. Step 6: Final answer
    x = 77,895.12

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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.