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Finding the Fourth Proportional to 170,742.40, 256,113.60 and 77,430.40

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Solution

The fourth proportional to 170,742.40, 256,113.60 and 77,430.40 is: 116,145.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,742.40 : 256,113.60 = 77,430.40 : x
  2. Step 2: Convert to fraction form
    170,742.40/256,113.60 = 77,430.40/x
  3. Step 3: Cross multiply
    170,742.40x = 256,113.60 × 77,430.40
  4. Step 4: Simplify right side
    170,742.40x = 19,830,978,493.44
  5. Step 5: Solve for x
    x = 19,830,978,493.44/170,742.40
  6. Step 6: Final answer
    x = 116,145.60

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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.