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Finding the Fourth Proportional to 145,306.81, 200,485.78 and 84,869.07

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Solution

The fourth proportional to 145,306.81, 200,485.78 and 84,869.07 is: 117,097.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,306.81 : 200,485.78 = 84,869.07 : x
  2. Step 2: Convert to fraction form
    145,306.81/200,485.78 = 84,869.07/x
  3. Step 3: Cross multiply
    145,306.81x = 200,485.78 × 84,869.07
  4. Step 4: Simplify right side
    145,306.81x = 17,015,041,210.22
  5. Step 5: Solve for x
    x = 17,015,041,210.22/145,306.81
  6. Step 6: Final answer
    x = 117,097.34

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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.