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Finding the Fourth Proportional to 149,042, 205,573.80 and 98,038.64

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Solution

The fourth proportional to 149,042, 205,573.80 and 98,038.64 is: 135,224.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,042 : 205,573.80 = 98,038.64 : x
  2. Step 2: Convert to fraction form
    149,042/205,573.80 = 98,038.64/x
  3. Step 3: Cross multiply
    149,042x = 205,573.80 × 98,038.64
  4. Step 4: Simplify right side
    149,042x = 20,154,175,771.63
  5. Step 5: Solve for x
    x = 20,154,175,771.63/149,042
  6. Step 6: Final answer
    x = 135,224.81

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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.