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Finding the Fourth Proportional to 145,802.25, 201,207.11 and 78,734.25

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Solution

The fourth proportional to 145,802.25, 201,207.11 and 78,734.25 is: 108,653.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,802.25 : 201,207.11 = 78,734.25 : x
  2. Step 2: Convert to fraction form
    145,802.25/201,207.11 = 78,734.25/x
  3. Step 3: Cross multiply
    145,802.25x = 201,207.11 × 78,734.25
  4. Step 4: Simplify right side
    145,802.25x = 15,841,890,506.85
  5. Step 5: Solve for x
    x = 15,841,890,506.85/145,802.25
  6. Step 6: Final answer
    x = 108,653.27

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1.5x scale

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.