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Finding the Fourth Proportional to 98,806.16, 136,339.80 and 56,362.16

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Solution

The fourth proportional to 98,806.16, 136,339.80 and 56,362.16 is: 77,772.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,806.16 : 136,339.80 = 56,362.16 : x
  2. Step 2: Convert to fraction form
    98,806.16/136,339.80 = 56,362.16/x
  3. Step 3: Cross multiply
    98,806.16x = 136,339.80 × 56,362.16
  4. Step 4: Simplify right side
    98,806.16x = 7,684,405,621.97
  5. Step 5: Solve for x
    x = 7,684,405,621.97/98,806.16
  6. Step 6: Final answer
    x = 77,772.54

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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.