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Finding the Fourth Proportional to 255,807.86, 383,547.78 and 106,151.45

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Solution

The fourth proportional to 255,807.86, 383,547.78 and 106,151.45 is: 159,159.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,807.86 : 383,547.78 = 106,151.45 : x
  2. Step 2: Convert to fraction form
    255,807.86/383,547.78 = 106,151.45/x
  3. Step 3: Cross multiply
    255,807.86x = 383,547.78 × 106,151.45
  4. Step 4: Simplify right side
    255,807.86x = 40,714,151,073.54
  5. Step 5: Solve for x
    x = 40,714,151,073.54/255,807.86
  6. Step 6: Final answer
    x = 159,159.11

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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.