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Finding the Fourth Proportional to 210,136.96, 289,987.63 and 119,492.93

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Solution

The fourth proportional to 210,136.96, 289,987.63 and 119,492.93 is: 164,899.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,136.96 : 289,987.63 = 119,492.93 : x
  2. Step 2: Convert to fraction form
    210,136.96/289,987.63 = 119,492.93/x
  3. Step 3: Cross multiply
    210,136.96x = 289,987.63 × 119,492.93
  4. Step 4: Simplify right side
    210,136.96x = 34,651,471,572.46
  5. Step 5: Solve for x
    x = 34,651,471,572.46/210,136.96
  6. Step 6: Final answer
    x = 164,899.46

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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.