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Finding the Fourth Proportional to 56,386.78, 84,346.41 and 42,958.16

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Solution

The fourth proportional to 56,386.78, 84,346.41 and 42,958.16 is: 64,259.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,386.78 : 84,346.41 = 42,958.16 : x
  2. Step 2: Convert to fraction form
    56,386.78/84,346.41 = 42,958.16/x
  3. Step 3: Cross multiply
    56,386.78x = 84,346.41 × 42,958.16
  4. Step 4: Simplify right side
    56,386.78x = 3,623,366,787.07
  5. Step 5: Solve for x
    x = 3,623,366,787.07/56,386.78
  6. Step 6: Final answer
    x = 64,259.16

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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.