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Finding the Fourth Proportional to 136,804.70, 205,518.42 and 98,970.66

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Solution

The fourth proportional to 136,804.70, 205,518.42 and 98,970.66 is: 148,681.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,804.70 : 205,518.42 = 98,970.66 : x
  2. Step 2: Convert to fraction form
    136,804.70/205,518.42 = 98,970.66/x
  3. Step 3: Cross multiply
    136,804.70x = 205,518.42 × 98,970.66
  4. Step 4: Simplify right side
    136,804.70x = 20,340,293,669.56
  5. Step 5: Solve for x
    x = 20,340,293,669.56/136,804.70
  6. Step 6: Final answer
    x = 148,681.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.