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Finding the Fourth Proportional to 210,113.59, 289,970.45 and 119,477.98

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Solution

The fourth proportional to 210,113.59, 289,970.45 and 119,477.98 is: 164,887.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,113.59 : 289,970.45 = 119,477.98 : x
  2. Step 2: Convert to fraction form
    210,113.59/289,970.45 = 119,477.98/x
  3. Step 3: Cross multiply
    210,113.59x = 289,970.45 × 119,477.98
  4. Step 4: Simplify right side
    210,113.59x = 34,645,083,625.69
  5. Step 5: Solve for x
    x = 34,645,083,625.69/210,113.59
  6. Step 6: Final answer
    x = 164,887.40

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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.