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Finding the Fourth Proportional to 42,980.32, 64,569.32 and 30,530.64

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Solution

The fourth proportional to 42,980.32, 64,569.32 and 30,530.64 is: 45,866.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,980.32 : 64,569.32 = 30,530.64 : x
  2. Step 2: Convert to fraction form
    42,980.32/64,569.32 = 30,530.64/x
  3. Step 3: Cross multiply
    42,980.32x = 64,569.32 × 30,530.64
  4. Step 4: Simplify right side
    42,980.32x = 1,971,342,663.96
  5. Step 5: Solve for x
    x = 1,971,342,663.96/42,980.32
  6. Step 6: Final answer
    x = 45,866.17

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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.