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Finding the Fourth Proportional to 98,902, 136,484.76 and 56,461.65

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Solution

The fourth proportional to 98,902, 136,484.76 and 56,461.65 is: 77,917.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,902 : 136,484.76 = 56,461.65 : x
  2. Step 2: Convert to fraction form
    98,902/136,484.76 = 56,461.65/x
  3. Step 3: Cross multiply
    98,902x = 136,484.76 × 56,461.65
  4. Step 4: Simplify right side
    98,902x = 7,706,154,749.45
  5. Step 5: Solve for x
    x = 7,706,154,749.45/98,902
  6. Step 6: Final answer
    x = 77,917.08

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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.