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Finding the Fourth Proportional to 74,168.16, 102,356.16 and 42,347.31

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Solution

The fourth proportional to 74,168.16, 102,356.16 and 42,347.31 is: 58,441.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,168.16 : 102,356.16 = 42,347.31 : x
  2. Step 2: Convert to fraction form
    74,168.16/102,356.16 = 42,347.31/x
  3. Step 3: Cross multiply
    74,168.16x = 102,356.16 × 42,347.31
  4. Step 4: Simplify right side
    74,168.16x = 4,334,507,495.29
  5. Step 5: Solve for x
    x = 4,334,507,495.29/74,168.16
  6. Step 6: Final answer
    x = 58,441.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.