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Finding the Fourth Proportional to 216,970.16, 299,349.14 and 140,547.81

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Solution

The fourth proportional to 216,970.16, 299,349.14 and 140,547.81 is: 193,910.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,970.16 : 299,349.14 = 140,547.81 : x
  2. Step 2: Convert to fraction form
    216,970.16/299,349.14 = 140,547.81/x
  3. Step 3: Cross multiply
    216,970.16x = 299,349.14 × 140,547.81
  4. Step 4: Simplify right side
    216,970.16x = 42,072,864,907.01
  5. Step 5: Solve for x
    x = 42,072,864,907.01/216,970.16
  6. Step 6: Final answer
    x = 193,910.84

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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.