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Finding the Fourth Proportional to 152,817.67, 210,878.34 and 84,831.33

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Solution

The fourth proportional to 152,817.67, 210,878.34 and 84,831.33 is: 117,061.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,817.67 : 210,878.34 = 84,831.33 : x
  2. Step 2: Convert to fraction form
    152,817.67/210,878.34 = 84,831.33/x
  3. Step 3: Cross multiply
    152,817.67x = 210,878.34 × 84,831.33
  4. Step 4: Simplify right side
    152,817.67x = 17,889,090,523.07
  5. Step 5: Solve for x
    x = 17,889,090,523.07/152,817.67
  6. Step 6: Final answer
    x = 117,061.66

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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.