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Finding the Fourth Proportional to 255,038.78, 382,579.59 and 77,547.33

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Solution

The fourth proportional to 255,038.78, 382,579.59 and 77,547.33 is: 116,327.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,038.78 : 382,579.59 = 77,547.33 : x
  2. Step 2: Convert to fraction form
    255,038.78/382,579.59 = 77,547.33/x
  3. Step 3: Cross multiply
    255,038.78x = 382,579.59 × 77,547.33
  4. Step 4: Simplify right side
    255,038.78x = 29,668,026,007.80
  5. Step 5: Solve for x
    x = 29,668,026,007.80/255,038.78
  6. Step 6: Final answer
    x = 116,327.51

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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.