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Finding the Fourth Proportional to 209,774.94, 314,545.77 and 69,457.02

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Solution

The fourth proportional to 209,774.94, 314,545.77 and 69,457.02 is: 104,146.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,774.94 : 314,545.77 = 69,457.02 : x
  2. Step 2: Convert to fraction form
    209,774.94/314,545.77 = 69,457.02/x
  3. Step 3: Cross multiply
    209,774.94x = 314,545.77 × 69,457.02
  4. Step 4: Simplify right side
    209,774.94x = 21,847,411,837.81
  5. Step 5: Solve for x
    x = 21,847,411,837.81/209,774.94
  6. Step 6: Final answer
    x = 104,146.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.