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Finding the Fourth Proportional to 255,031.48, 382,547.94 and 121,881.52

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Solution

The fourth proportional to 255,031.48, 382,547.94 and 121,881.52 is: 182,822.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,031.48 : 382,547.94 = 121,881.52 : x
  2. Step 2: Convert to fraction form
    255,031.48/382,547.94 = 121,881.52/x
  3. Step 3: Cross multiply
    255,031.48x = 382,547.94 × 121,881.52
  4. Step 4: Simplify right side
    255,031.48x = 46,625,524,400.07
  5. Step 5: Solve for x
    x = 46,625,524,400.07/255,031.48
  6. Step 6: Final answer
    x = 182,822.62

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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.