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Finding the Fourth Proportional to 152,653, 210,417.74 and 120,334.92

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Solution

The fourth proportional to 152,653, 210,417.74 and 120,334.92 is: 165,870.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,653 : 210,417.74 = 120,334.92 : x
  2. Step 2: Convert to fraction form
    152,653/210,417.74 = 120,334.92/x
  3. Step 3: Cross multiply
    152,653x = 210,417.74 × 120,334.92
  4. Step 4: Simplify right side
    152,653x = 25,320,601,909.48
  5. Step 5: Solve for x
    x = 25,320,601,909.48/152,653
  6. Step 6: Final answer
    x = 165,870.32

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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.