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Finding the Fourth Proportional to 145,768.76, 201,092.16 and 85,302.32

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Solution

The fourth proportional to 145,768.76, 201,092.16 and 85,302.32 is: 117,676.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,768.76 : 201,092.16 = 85,302.32 : x
  2. Step 2: Convert to fraction form
    145,768.76/201,092.16 = 85,302.32/x
  3. Step 3: Cross multiply
    145,768.76x = 201,092.16 × 85,302.32
  4. Step 4: Simplify right side
    145,768.76x = 17,153,627,781.81
  5. Step 5: Solve for x
    x = 17,153,627,781.81/145,768.76
  6. Step 6: Final answer
    x = 117,676.98

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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.