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Finding the Fourth Proportional to 145,915.57, 201,364.14 and 85,496.95

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Solution

The fourth proportional to 145,915.57, 201,364.14 and 85,496.95 is: 117,986.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,915.57 : 201,364.14 = 85,496.95 : x
  2. Step 2: Convert to fraction form
    145,915.57/201,364.14 = 85,496.95/x
  3. Step 3: Cross multiply
    145,915.57x = 201,364.14 × 85,496.95
  4. Step 4: Simplify right side
    145,915.57x = 17,216,019,809.37
  5. Step 5: Solve for x
    x = 17,216,019,809.37/145,915.57
  6. Step 6: Final answer
    x = 117,986.17

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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.