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Finding the Fourth Proportional to 145,344.56, 200,569.04 and 84,920.80

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Solution

The fourth proportional to 145,344.56, 200,569.04 and 84,920.80 is: 117,186.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,344.56 : 200,569.04 = 84,920.80 : x
  2. Step 2: Convert to fraction form
    145,344.56/200,569.04 = 84,920.80/x
  3. Step 3: Cross multiply
    145,344.56x = 200,569.04 × 84,920.80
  4. Step 4: Simplify right side
    145,344.56x = 17,032,483,332.03
  5. Step 5: Solve for x
    x = 17,032,483,332.03/145,344.56
  6. Step 6: Final answer
    x = 117,186.93

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