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Finding the Fourth Proportional to 210,152.77, 290,011.77 and 114,661.46

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Solution

The fourth proportional to 210,152.77, 290,011.77 and 114,661.46 is: 158,233.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,152.77 : 290,011.77 = 114,661.46 : x
  2. Step 2: Convert to fraction form
    210,152.77/290,011.77 = 114,661.46/x
  3. Step 3: Cross multiply
    210,152.77x = 290,011.77 × 114,661.46
  4. Step 4: Simplify right side
    210,152.77x = 33,253,173,690.41
  5. Step 5: Solve for x
    x = 33,253,173,690.41/210,152.77
  6. Step 6: Final answer
    x = 158,233.34

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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.