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Finding the Fourth Proportional to 145,165.91, 200,328.95 and 81,505.08

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Solution

The fourth proportional to 145,165.91, 200,328.95 and 81,505.08 is: 112,477.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,165.91 : 200,328.95 = 81,505.08 : x
  2. Step 2: Convert to fraction form
    145,165.91/200,328.95 = 81,505.08/x
  3. Step 3: Cross multiply
    145,165.91x = 200,328.95 × 81,505.08
  4. Step 4: Simplify right side
    145,165.91x = 16,327,827,096.07
  5. Step 5: Solve for x
    x = 16,327,827,096.07/145,165.91
  6. Step 6: Final answer
    x = 112,477.01

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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.