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Finding the Fourth Proportional to 255,119.63, 382,695.23 and 77,639.72

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Solution

The fourth proportional to 255,119.63, 382,695.23 and 77,639.72 is: 116,464.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,119.63 : 382,695.23 = 77,639.72 : x
  2. Step 2: Convert to fraction form
    255,119.63/382,695.23 = 77,639.72/x
  3. Step 3: Cross multiply
    255,119.63x = 382,695.23 × 77,639.72
  4. Step 4: Simplify right side
    255,119.63x = 29,712,348,783.16
  5. Step 5: Solve for x
    x = 29,712,348,783.16/255,119.63
  6. Step 6: Final answer
    x = 116,464.38

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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.