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Finding the Fourth Proportional to 254,528.88, 381,798.12 and 77,035.20

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Solution

The fourth proportional to 254,528.88, 381,798.12 and 77,035.20 is: 115,554.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,528.88 : 381,798.12 = 77,035.20 : x
  2. Step 2: Convert to fraction form
    254,528.88/381,798.12 = 77,035.20/x
  3. Step 3: Cross multiply
    254,528.88x = 381,798.12 × 77,035.20
  4. Step 4: Simplify right side
    254,528.88x = 29,411,894,533.82
  5. Step 5: Solve for x
    x = 29,411,894,533.82/254,528.88
  6. Step 6: Final answer
    x = 115,554.25

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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.