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Finding the Fourth Proportional to 142,521.60, 214,300.80 and 139,411.20

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Solution

The fourth proportional to 142,521.60, 214,300.80 and 139,411.20 is: 209,623.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,521.60 : 214,300.80 = 139,411.20 : x
  2. Step 2: Convert to fraction form
    142,521.60/214,300.80 = 139,411.20/x
  3. Step 3: Cross multiply
    142,521.60x = 214,300.80 × 139,411.20
  4. Step 4: Simplify right side
    142,521.60x = 29,875,931,688.96
  5. Step 5: Solve for x
    x = 29,875,931,688.96/142,521.60
  6. Step 6: Final answer
    x = 209,623.89

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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.