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Finding the Fourth Proportional to 145,862.24, 201,357.09 and 85,424.48

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Solution

The fourth proportional to 145,862.24, 201,357.09 and 85,424.48 is: 117,925.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,862.24 : 201,357.09 = 85,424.48 : x
  2. Step 2: Convert to fraction form
    145,862.24/201,357.09 = 85,424.48/x
  3. Step 3: Cross multiply
    145,862.24x = 201,357.09 × 85,424.48
  4. Step 4: Simplify right side
    145,862.24x = 17,200,824,707.56
  5. Step 5: Solve for x
    x = 17,200,824,707.56/145,862.24
  6. Step 6: Final answer
    x = 117,925.14

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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.