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Finding the Fourth Proportional to 102,365.20, 153,547.80 and 84,854.80

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Solution

The fourth proportional to 102,365.20, 153,547.80 and 84,854.80 is: 127,282.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,365.20 : 153,547.80 = 84,854.80 : x
  2. Step 2: Convert to fraction form
    102,365.20/153,547.80 = 84,854.80/x
  3. Step 3: Cross multiply
    102,365.20x = 153,547.80 × 84,854.80
  4. Step 4: Simplify right side
    102,365.20x = 13,029,267,859.44
  5. Step 5: Solve for x
    x = 13,029,267,859.44/102,365.20
  6. Step 6: Final answer
    x = 127,282.20

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1.5x scale

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.