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Finding the Fourth Proportional to 152,263.51, 210,117 and 84,276.43

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Solution

The fourth proportional to 152,263.51, 210,117 and 84,276.43 is: 116,297.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,263.51 : 210,117 = 84,276.43 : x
  2. Step 2: Convert to fraction form
    152,263.51/210,117 = 84,276.43/x
  3. Step 3: Cross multiply
    152,263.51x = 210,117 × 84,276.43
  4. Step 4: Simplify right side
    152,263.51x = 17,707,910,642.31
  5. Step 5: Solve for x
    x = 17,707,910,642.31/152,263.51
  6. Step 6: Final answer
    x = 116,297.80

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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.