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Finding the Fourth Proportional to 145,517, 200,783.22 and 85,075.79

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Solution

The fourth proportional to 145,517, 200,783.22 and 85,075.79 is: 117,386.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,517 : 200,783.22 = 85,075.79 : x
  2. Step 2: Convert to fraction form
    145,517/200,783.22 = 85,075.79/x
  3. Step 3: Cross multiply
    145,517x = 200,783.22 × 85,075.79
  4. Step 4: Simplify right side
    145,517x = 17,081,791,060.24
  5. Step 5: Solve for x
    x = 17,081,791,060.24/145,517
  6. Step 6: Final answer
    x = 117,386.91

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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.