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Finding the Fourth Proportional to 254,531.37, 381,802.50 and 77,038.08

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Solution

The fourth proportional to 254,531.37, 381,802.50 and 77,038.08 is: 115,558.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,531.37 : 381,802.50 = 77,038.08 : x
  2. Step 2: Convert to fraction form
    254,531.37/381,802.50 = 77,038.08/x
  3. Step 3: Cross multiply
    254,531.37x = 381,802.50 × 77,038.08
  4. Step 4: Simplify right side
    254,531.37x = 29,413,331,539.20
  5. Step 5: Solve for x
    x = 29,413,331,539.20/254,531.37
  6. Step 6: Final answer
    x = 115,558.77

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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.