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Finding the Fourth Proportional to 292,124.10, 438,142.95 and 81,783.30

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Solution

The fourth proportional to 292,124.10, 438,142.95 and 81,783.30 is: 122,662.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,124.10 : 438,142.95 = 81,783.30 : x
  2. Step 2: Convert to fraction form
    292,124.10/438,142.95 = 81,783.30/x
  3. Step 3: Cross multiply
    292,124.10x = 438,142.95 × 81,783.30
  4. Step 4: Simplify right side
    292,124.10x = 35,832,776,322.74
  5. Step 5: Solve for x
    x = 35,832,776,322.74/292,124.10
  6. Step 6: Final answer
    x = 122,662.86

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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.