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Finding the Fourth Proportional to 152,400, 210,263.40 and 98,726.16

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Solution

The fourth proportional to 152,400, 210,263.40 and 98,726.16 is: 136,210.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,400 : 210,263.40 = 98,726.16 : x
  2. Step 2: Convert to fraction form
    152,400/210,263.40 = 98,726.16/x
  3. Step 3: Cross multiply
    152,400x = 210,263.40 × 98,726.16
  4. Step 4: Simplify right side
    152,400x = 20,758,498,070.54
  5. Step 5: Solve for x
    x = 20,758,498,070.54/152,400
  6. Step 6: Final answer
    x = 136,210.62

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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.