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Finding the Fourth Proportional to 145,407, 200,583.90 and 97,578.12

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Solution

The fourth proportional to 145,407, 200,583.90 and 97,578.12 is: 134,605.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,407 : 200,583.90 = 97,578.12 : x
  2. Step 2: Convert to fraction form
    145,407/200,583.90 = 97,578.12/x
  3. Step 3: Cross multiply
    145,407x = 200,583.90 × 97,578.12
  4. Step 4: Simplify right side
    145,407x = 19,572,599,864.27
  5. Step 5: Solve for x
    x = 19,572,599,864.27/145,407
  6. Step 6: Final answer
    x = 134,605.62

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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.