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Finding the Fourth Proportional to 152,054.76, 209,831.46 and 84,999.72

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Solution

The fourth proportional to 152,054.76, 209,831.46 and 84,999.72 is: 117,297.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,054.76 : 209,831.46 = 84,999.72 : x
  2. Step 2: Convert to fraction form
    152,054.76/209,831.46 = 84,999.72/x
  3. Step 3: Cross multiply
    152,054.76x = 209,831.46 × 84,999.72
  4. Step 4: Simplify right side
    152,054.76x = 17,835,615,347.19
  5. Step 5: Solve for x
    x = 17,835,615,347.19/152,054.76
  6. Step 6: Final answer
    x = 117,297.32

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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.