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Finding the Fourth Proportional to 170,746.60, 256,196.70 and 77,204.20

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Solution

The fourth proportional to 170,746.60, 256,196.70 and 77,204.20 is: 115,841.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,746.60 : 256,196.70 = 77,204.20 : x
  2. Step 2: Convert to fraction form
    170,746.60/256,196.70 = 77,204.20/x
  3. Step 3: Cross multiply
    170,746.60x = 256,196.70 × 77,204.20
  4. Step 4: Simplify right side
    170,746.60x = 19,779,461,266.14
  5. Step 5: Solve for x
    x = 19,779,461,266.14/170,746.60
  6. Step 6: Final answer
    x = 115,841.03

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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.