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Finding the Fourth Proportional to 152,509.41, 210,200.09 and 101,430.77

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Solution

The fourth proportional to 152,509.41, 210,200.09 and 101,430.77 is: 139,799.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,509.41 : 210,200.09 = 101,430.77 : x
  2. Step 2: Convert to fraction form
    152,509.41/210,200.09 = 101,430.77/x
  3. Step 3: Cross multiply
    152,509.41x = 210,200.09 × 101,430.77
  4. Step 4: Simplify right side
    152,509.41x = 21,320,755,424.62
  5. Step 5: Solve for x
    x = 21,320,755,424.62/152,509.41
  6. Step 6: Final answer
    x = 139,799.61

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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.