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Finding the Fourth Proportional to 98,855.84, 136,407.96 and 56,411.84

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Solution

The fourth proportional to 98,855.84, 136,407.96 and 56,411.84 is: 77,840.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,855.84 : 136,407.96 = 56,411.84 : x
  2. Step 2: Convert to fraction form
    98,855.84/136,407.96 = 56,411.84/x
  3. Step 3: Cross multiply
    98,855.84x = 136,407.96 × 56,411.84
  4. Step 4: Simplify right side
    98,855.84x = 7,695,024,014.25
  5. Step 5: Solve for x
    x = 7,695,024,014.25/98,855.84
  6. Step 6: Final answer
    x = 77,840.86

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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.