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Finding the Fourth Proportional to 142,646.48, 213,969.51 and 42,806.51

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Solution

The fourth proportional to 142,646.48, 213,969.51 and 42,806.51 is: 64,209.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,646.48 : 213,969.51 = 42,806.51 : x
  2. Step 2: Convert to fraction form
    142,646.48/213,969.51 = 42,806.51/x
  3. Step 3: Cross multiply
    142,646.48x = 213,969.51 × 42,806.51
  4. Step 4: Simplify right side
    142,646.48x = 9,159,286,899.66
  5. Step 5: Solve for x
    x = 9,159,286,899.66/142,646.48
  6. Step 6: Final answer
    x = 64,209.70

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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.